導(dǎo)數(shù)的概念

(1)對(duì)于函數(shù)y＝f(x)，我們把式子稱(chēng)為函數(shù)f(x)從x₁到x₂的_________．換言之，如果自變量x在x₀處有增量Δx，那么函數(shù)f(x)相應(yīng)地有增量_________；比值_________就叫做函數(shù)y＝f(x)在x₀到x₀＋Δx之間的_________．

(2)函數(shù)y＝f(x)在x＝x₀處的瞬時(shí)變化率是_________，我們稱(chēng)它為函數(shù)y＝f(x)在x＝x₀處的_________，記作_________，即(x₀)＝_________．

(3)函數(shù)f(x)的導(dǎo)數(shù)(x)就是x的一個(gè)函數(shù)．我們稱(chēng)它為f(x)的_________，簡(jiǎn)稱(chēng)_________，記作_________．

導(dǎo)數(shù)的意義

(1)導(dǎo)數(shù)的幾何意義：函數(shù)y＝f(x)在點(diǎn)x₀處的導(dǎo)數(shù)(x₀)就是曲線(xiàn)y＝f(x)在點(diǎn)p(x₀，f(x₀))處的切線(xiàn)的_________，即_________．

(2)導(dǎo)數(shù)的物理意義：函數(shù)s＝s(t)在點(diǎn)t₀處的導(dǎo)數(shù)_________，就是當(dāng)物體的運(yùn)動(dòng)方程為s＝s(t)時(shí)，物體運(yùn)動(dòng)在時(shí)刻t₀時(shí)的瞬時(shí)速度v，即v＝(t₀)．

導(dǎo)數(shù)的概念

(1)對(duì)于函數(shù)y＝f(x)，如果自變量x在x₀處有增數(shù)Δx，那么函數(shù)y相應(yīng)地有增量_________；比值_________就叫做函數(shù)y＝f(x)在x₀到x₀＋Δx之間的_________．

(2)當(dāng)Δx→0時(shí)，有極限，我們就說(shuō)y＝f(x)在點(diǎn)x₀處_________，并把這個(gè)極限叫做f(x)在點(diǎn)x₀處的導(dǎo)數(shù)(或變化率)記作_________或_________，即(x₀)＝_________＝_________，函數(shù)f(x)的導(dǎo)數(shù)(x)就是當(dāng)Δx→0時(shí)，函數(shù)的增量Δy與自變量的增量Δx的比的極限，即(x)＝_________＝_________．

導(dǎo)數(shù)的意義

(1)導(dǎo)數(shù)的幾何意義：函數(shù)y＝f(x)在x₀處的導(dǎo)數(shù)(x₀)就是曲線(xiàn)y＝f(x)在點(diǎn)p(x₀，f(x₀))處的切線(xiàn)的_________，即_________．

(2)導(dǎo)數(shù)的物理意義：函數(shù)s＝s(t)在點(diǎn)t₀處的導(dǎo)數(shù)_________，就是當(dāng)物體的運(yùn)動(dòng)方程s＝s(t)時(shí)，物體運(yùn)動(dòng)在時(shí)刻t₀時(shí)的瞬時(shí)速度v，即v＝_________．